9514 1404 393
Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
_____
Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
(MATH) (6) ((PHOTO)) W-1
Answer:
Perimeter of the summer camp = 38 units
Step-by-step explanation:
Distance between P(5, 14) and Q(8, 14) = 8 - 5
= 3 units
Distance between Q(8, 14) and R(8, 2) = 14 - 2
= 12 units
Distance between R(8, 2) and S(1, 2) = 8 - 1
= 7 units
Distance between S(1, 2) and T(1, 8) = 8 - 2
= 6 units
Distance between T(1, 8) and U(5, 8) = 5- 1
= 4 units
Distance between U(5, 8) and P(5, 14) = 14 - 8
= 6 units
Therefore, perimeter of the summer camp = 3 + 12 + 7 + 6 + 4 + 6
= 38 units
two fair number cubes are rolled at the same time. what is the probability that both number cubes have the number four facing up? thanksss <3333
Answer:
The probability that both number cubes have the number 4 facing up is 1/36.
Step-by-step explanation:
For a cube, we have the number:
1,2,3,4,5 and 6
The number 4 only occurs once in the six.
So, the probability of having the number 4 in a single roll is 1/6.
Now, for two rolls, we have two probabilities which we will have to multiply.
Thus, we have the probability as:
[tex] \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} [/tex]
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.02, can you reject the company's claim? Complete parts (a) through (e).
Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Solve m − hp = d for p
p=−d+m/h
Step by step:
m−hp=d
−hp+m+−m=d+−m
−hp=d−m
-hp/-h=d-m/-h
p=-d+m/h
The expression solved for p is [tex]p = \frac{m - d}{h}[/tex].
What is a variable in equation?It is the unknown value in a set of range. Variable always represent a number.
Given that,
m − hp = d
There are 4 variables. If we want to solve the above equation for p, take p at one side of the equation and other variables to the other side:
[tex]ph ={m - d}[/tex]
[tex]p = \frac{m - d}{h}[/tex]
Hence the final equation for p is [tex]p = \frac{m - d}{h}\\[/tex].
To know more about equations, refer to the link:
https://brainly.com/question/10413253
#SPJ5
Choose the point whose coordinates lie within the region given by the following system of inequalities. y> 2x+3 y <3x-1
Answer:
THE ANSWER IS D
Step-by-step explanation:
D is correct. Subtract 3 from both sides, then divide by -2, and remember to reverse the inequality.
Determine the amplitude or period as requested. Period of a y = - 1/3 * sin x - 1/3 pi/3 1/3 d 2pi
Answer:
[tex]Period = 2\pi[/tex]
Step-by-step explanation:
Given
[tex]y = -\frac{1}{3} * \sin(x - \frac{1}{3})[/tex]
Required
Determine the period
A sine function is represented as:
[tex]y =A \sin(Bx + C) + D[/tex]
Where
[tex]Period = \frac{2\pi}{B}[/tex]
By comparing:
[tex]y =A \sin(Bx + C) + D[/tex] and [tex]y = -\frac{1}{3} * \sin(x - \frac{1}{3})[/tex]
[tex]Bx = x[/tex]
So:
[tex]B = 1[/tex]
So, we have:
[tex]Period = \frac{2\pi}{B}[/tex]
[tex]Period = \frac{2\pi}{1}[/tex]
[tex]Period = 2\pi[/tex]
Hence, the period of the function is [tex]2\pi[/tex]
the cultural revolution ended up by early 1970s.in which three ways did it cause devastation in China
Answer:
Ancient cultural artifacts and historical buildings were destroyed.
Please help. 25 points.
if f(x)= 3x+16 what is f(2)
Answer:
22
Step-by-step explanation:
Answer this????????????
Answer:
[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]
Explain, then show, how to prove that g(x) and g^(-1) (x) are inverse functions.
Answer:
Where is the question
Step-by-step explanation:
Which point gives the vertex of f(x) = - x2 + 4x - 3?
A) (2,-1)
B) (-2,-13)
C) (2,1)
D) (2,-13)
Answer:
(2,1)
Step-by-step explanation:
f(x) = - x^2 + 4x - 3
Factor out the negative
f(x) = - (x^2 - 4x + 3)
Factor
f(x) = -(x-3) (x-1)
The zeros are at
0 = -(x-3) (x-1)
x-3 =0 x-1 =0
x=3 x=1
We know the vertex is 1/2 way between the zeros
(3+1)/2 = 4/2 =2
The x coordinate of the vertex is 2
Substitute x=2 into the equation
f(2) = -(2^2-4(2) +3)
= -(4-8+3)
= -(-1)
= 1
The vertex is (2,1)
Irene purchased some earrings that regularly cost $55 for a friend's birthday. Irene used a "20% Off"
coupon.
How much did Irene pay for the earrings?
Answer:
44 dollars without tax so the earrings were 11 dollars off
What is the approximate area of the shaded sector in the circle shown below
Answer:
A. 4.71cm²
Step-by-step explanation:
Area of a sector = π(radius²)(angle/360)
=π(3²)(60/360)
=(9)(1/6)π=4.71238898038
Two spheres M and N have volumes of 500 cubic cm and 9500 cubic cm respectively. Find the ratio of their radii.
Answer:
4.9:13.1
Step-by-step explanation:
V=4/3*pi*r^3
In the troposphere, temperature as altitude increases.
Answer:
Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases
Step-by-step explanation:
Completing the table
If a cone has a height of 16 feet and a volume
of 603.19 cubic feet, find the length of its
diameter.
find the value of x. geometry!
Answer:
x= 130°
Step-by-step explanation:
How much does the average bag of candy weigh in ounces
Answer:
the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces.
hope this helps
have a good day :)
Step-by-step explanation:
The marketing manager of a tourist company wants to be able to predict the number of calls to a toll free number asking for pamphlets, maps and other tourist related information based upon the number of advertisements placed the previous week, the number of calls received the previous week, and the number of airline tour bookings for the current week.
What statistical technique is describe above?
Answer:
multiple regression
Step-by-step explanation:
In the field of statistics, the multiple regression is the statistical technique which uses the various explanatory variables for predicting the outcome of the response variable. It is the extension of the simple linear regression. It explains the relation between the multiple predictor variables or independent variables and one dependent variable or criterion variable.
In the context, the manager of a tourist company predicting the number of calls to the toll free number is using the statistical technique of multiple regression.
The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003
Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
Find the value of x (this is the angles of a triangle)
(X-13)+x+(×/5+6)=180
Answer:
72 85 23
Step-by-step explanation:
Equation
(x - 13) + (x/5 + 6) + x = 180 Multiply the equation by 5
Solution
5(x - 13) + 5(x/5 + 6) + 5x = 180*5 Remove the brackets
5x - 65 + x + 30 + 5x = 900 Combine like terms on the left
11x - 35 = 900 Add 35 to both sides
35 35
11x = 935
x = 85
Answer
x - 13 = 85 - 13 = 72
x = 85
x/5 + 6 = 17 + 6 = 23
Total = 180
It might be easier not to multiply through by 5 at the beginning
(x - 13) + (x/5 + 6) + x = 180 Remove the brackets
x - 13 + x/5 + 6 + x = 180 Combine like terms
2x + x/5 -- 7 = 180
x/5 = .2x Put 0.2x in for x/5
2.2x - 7= 180 Add 7 to both sides
7 7
2.2x = 187 Divide by 2.2
x = 187/2.2
x = 85
Take your pick. Both methods will give the same answer.
The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?
Answer:
The slope should be 34.00.
Step-by-step explanation:
Mary has a stack of cards, 8 purple, 6 orange, 5 red and 7 black. If she has to choose a card, how many possible outcomes are there?
Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.
Step-by-step explanation:
Basic arithmetic really. 8+6+5+7 = 26. The color was just added to confuse u.
Kitchen countertops can be
measured in millimeters.
How long is 1.50 m in mm?
Answer:
1500mm
Step-by-step explanation:
Multiply the length by 1000
therefore, 1.5×1000
yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.
Answer:
mk?
Step-by-step explanation:
Factor this trinomial.
x²+x-2
A. (x - 2)(x - 1)
B. (x-2)(x + 1)
O C. (x + 2)(x - 1)
D. (x + 2)(x + 1)
Answer:
(x−1)(x+2)
Step-by-step explanation:
The middle number is 1 (1x) and the last number is -2.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 1
Multiply together to get -2
Try -1 and 2:
-1+2 = 1
-1*2 = -2
Fill in the blanks in
(x+_)(x+_)
with -1 and 2 to get...
(x-1)(x+2)
Hope this helps!
Show your full solution
1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?
2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
An aquarium owns 5 identical tanks. All together, the tanks can hold 86 gallons of water. How much water can each tank hold?
All tanks together =
Answer: 17.2 for each tank